Search a number
-
+
27486068472 = 23331131278867
BaseRepresentation
bin11001100110010011…
…000001111011111000
32121221112212221122000
4121212103001323320
5422242413142342
620343225501000
71662062504262
oct314623017370
977845787560
1027486068472
1110725195075
1253b1041760
1327905c8755
14148a60cb32
15aad09a44c
hex6664c1ef8

27486068472 has 128 divisors (see below), whose sum is σ = 77641113600. Its totient is φ = 9008423424.

The previous prime is 27486068437. The next prime is 27486068509.

It is a happy number.

27486068472 is a `hidden beast` number, since 27 + 4 + 8 + 606 + 8 + 4 + 7 + 2 = 666.

27486068472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095383 + ... + 3104249.

It is an arithmetic number, because the mean of its divisors is an integer number (606571200).

Almost surely, 227486068472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27486068472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38820556800).

27486068472 is an abundant number, since it is smaller than the sum of its proper divisors (50155045128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27486068472 is a wasteful number, since it uses less digits than its factorization.

27486068472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27486068472 in words is "twenty-seven billion, four hundred eighty-six million, sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 127 216 226 254 339 381 452 508 678 762 904 1016 1017 1143 1356 1524 2034 2286 2712 3048 3051 3429 4068 4572 6102 6858 8136 8867 9144 12204 13716 14351 17734 24408 26601 27432 28702 35468 43053 53202 57404 70936 79803 86106 106404 114808 129159 159606 172212 212808 239409 258318 319212 344424 387477 478818 516636 638424 774954 957636 1001971 1033272 1126109 1549908 1915272 2003942 2252218 3005913 3099816 3378327 4007884 4504436 6011826 6756654 8015768 9008872 9017739 10134981 12023652 13513308 18035478 20269962 24047304 27026616 27053217 30404943 36070956 40539924 54106434 60809886 72141912 81079848 108212868 121619772 127250317 216425736 243239544 254500634 381750951 509001268 763501902 1018002536 1145252853 1527003804 2290505706 3054007608 3435758559 4581011412 6871517118 9162022824 13743034236 27486068472